[00858] An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost
Session Time & Room : 3D (Aug.23, 15:30-17:10) @E606
Type : Contributed Talk
Abstract : I will introduce an efficient method for solving 2nd order, linear ODEs whose solution may vary between highly oscillatory and slowly changing over the solution interval. Within a marching scheme, the solution is generated either via a nonoscillatory phase function (computed by defect correction), or spectral collocation, whichever is more efficient for the current timestep. With numerical experiments I will show that our algorithm outperforms other state-of-the-art oscillatory solvers and has a frequency-independent runtime.
